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Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

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  • Mohamed Jleli
  • Mokhtar Kirane
  • Bessem Samet

Abstract

We consider a fractional boundary value problem involving a fractional derivative with respect to a certain function . A Hartman-Wintner-type inequality is obtained for such problem. Next, several Lyapunov-type inequalities are deduced for different choices of the function . Moreover, some applications to eigenvalue problems are presented.

Suggested Citation

  • Mohamed Jleli & Mokhtar Kirane & Bessem Samet, 2017. "Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-8, February.
    • Handle: RePEc:hin:jnddns:5123240
    DOI: 10.1155/2017/5123240
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